Howie wants to get a $250 loan with a simple interest rate of 4%.
1 answer:
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Just simplify?
Than your answer should be
Than your answer should be
the Answer:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Note:
A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).
What happens when scale factor k is a negative value?
If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)
Let's see how a negative dilation affects a triangle:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Option D: is the solution to the inequalities.
Explanation:
From the given graph, we can see that the equation of the inequalities are
and
To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities and
Thus, we have,
Option A:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option A is not the correct answer.
Option B:
Substituting the coordinates in and
, we get,
is not true.
is not true.
Since, both the equations does not satisfy the condition, the coordinate is not a solution.
Hence, Option B is not the correct answer.
Option C:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option C is not the correct answer.
Option D:
Substituting the coordinates in and
, we get,
is true.
is true.
Since, both equation satisfies the condition, the coordinate is a solution.
Hence, Option D is the correct answer.
Y=3x-4
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis